Results 81 to 90 of about 144 (124)

A new perspective on the Riesz potential

Advances in Nonlinear Analysis, 2017
This paper offers a new perspective to look at the Riesz potential. On the one hand, it is shown that not only 𝔏q,q⁢p-1⁢(n-α⁢p)∩𝔏p,κ-α⁢p\mathfrak{L}^{q,qp^{-1}(n-\alpha p)}\cap\mathfrak{L}^{p,\kappa-\alpha p} contains Iα⁢Lp,κ{I_{\alpha}L^{p,\kappa ...
Xiao Jie
doaj   +1 more source

Wiener amalgams and summability of Fourier series [PDF]

ome recent results on a general summability method, on the so-called µ-summability is summarized. New spaces, such as Wiener amalgams, Feichtinger’s algebra and modulation spaces are investigated in summability theory.
Weisz, Ferenc
core  

Approximation From Shift-Invariant Subspaces of ...

, 1991
: A complete characterization is given of closed shift-invariant subspaces of L 2 (IR d ) which provide a specified approximation order. When such a space is principal (i.e., generated by a single function), then this characterization is in terms of ...
Amos Ron, Ronald A. Devore, Carl de Boor
core  

Gradient estimates for a class of higher-order elliptic equations of p-growth over a nonsmooth domain

Advances in Nonlinear Analysis
This article is devoted to a global Calderón-Zygmund estimate in the framework of Lorentz spaces for the mm-order gradients of weak solution to a higher-order elliptic equation with pp-growth.
Tian Hong, Zheng Shenzhou
doaj   +1 more source

Embeddings of Rearrangement Invariant Spaces That Are Not Strictly Singular

, 1999
. We give partial answers to the following conjecture: the natural embedding of a rearrangement invariant space E into L1 ([0; 1]) is strictly singular if and only if G does not embed into E continuously, where G is the closure of the simple functions in
E.M. Semenov, S.J. Montgomery-Smith
core  

Boundedness of Marcinkiewicz integrals with rough kernels on Musielak-Orlicz Hardy spaces. [PDF]

J Inequal Appl, 2017
Li B, Liao M, Li B.
europepmc   +1 more source

Abstract Korovkin-type theorems in modular spaces and applications

Open Mathematics, 2013
Bardaro Carlo, Boccuto Antonio, Dimitriou Xenofon, Mantellini Ilaria   +3 more
doaj   +1 more source

Some characterizations of disjoint topological transitivity on Orlicz spaces. [PDF]

J Inequal Appl, 2018
Chen CC, Du WS.
europepmc   +1 more source

Extrapolation to Morrey Banach spaces on spaces of homogeneous type

Analysis and Geometry in Metric Spaces
This paper introduces the Morrey Banach spaces on spaces of homogeneous type. We establish the Rubio de Francia extrapolation theory for Morrey Banach spaces on spaces of homogeneous type.
Ho Kwok-Pun
doaj   +1 more source

Existence and uniqueness for double-phase Poisson equations with variable growth

Advances in Nonlinear Analysis
We study a class of nonlinear elliptic problems driven by a double-phase operator with variable exponents, arising in the modeling of heterogeneous materials undergoing phase transitions.
Khamsi Mohamed A., Méndez Osvaldo
doaj   +1 more source